Those are good examples to raise, but I think they actually support the original point rather than undermine it, depending on what we mean by "empire."
China has had unbroken civilizational continuity for thousands of years, yes. But not as one empire.
The Han fell.
The Tang fell.
The Song fell to the Mongols.
The Yuan fell.
The Ming fell to the Qing.
The Qing collapsed in 1912 after a century of humiliation, foreign occupation, and internal collapse.
What persisted was a civilization, a writing system, a cultural continuity, not a single unbroken imperial structure.
Each dynasty rose, expanded, became rigid, faced internal contradiction or external pressure, and fell. Then something new was built on the ruins, sometimes by outside conquerors who were themselves absorbed.
That's not a counterexample to "empires end."
That's the pattern repeating itself for three thousand years, with remarkable consistency.
Persia is the same story.
The Achaemenid Empire fell to Alexander.
The Parthian Empire fell to the Sassanids.
The Sassanid Empire fell to the Arab conquest in the 7th century, one of the most total imperial collapses in history.
Then Safavid Persia, then Qajar, then Pahlavi, then the 1979 revolution.
Iran as a continuous cultural and linguistic identity is real and remarkable. But it has been through more total imperial collapses than almost anywhere on earth.
The Ottoman Empire, six centuries, collapsed completely after World War I, redrawn entirely by outside powers.
India: the Mughal Empire, one of the largest empires in human history, was reduced to a figurehead by the British East India Company and formally ended in 1858. Before that, the Maurya, the Gupta, dozens of regional empires, all rose and fell.
So I'd actually push back gently: I don't think these examples show empires lasting forever.
I think they show something more specific: civilizations can persist for millennia through cycles of imperial rise and collapse, often by absorbing their conquerors, rebuilding, and continuing under new political forms.
Which is actually a more interesting point than mine, because it suggests the relevant question for the American case isn't just, "Does the empire end?"
It almost certainly does. Nothing has shown otherwise.
The real question is:
What civilizational continuity, if any, persists through that ending, and what gets built on the other side?
China, Iran, and India all have answers to that second question that go back millennia. They had deep cultural, linguistic, religious, and institutional continuities that outlasted any individual dynasty or empire.
Does the United States have an equivalent?
Does it possess a civilizational core that exists independently of the imperial structure, one capable of surviving its end and rebuilding into something else?
That is a much harder question than, "Will the empire end?"
And I think it's the more important one.
I guess you haven’t really studied Iran, China, nor Turkey? Each one is a very long term empire. India might be another example.